• 867 can be written using four 4's:

See also 113.

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867 has 6 divisors (see below), whose sum is σ = 1228. Its totient is φ = 544.

The previous prime is 863. The next prime is 877. The reversal of 867 is 768.

867 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 867 - 2² = 863 is a prime.

It is a Duffinian number.

867 is an undulating number in base 16.

867 is a lucky number.

It is a plaindrome in base 7, base 14 and base 15.

It is not an unprimeable number, because it can be changed into a prime (863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43 + ... + 59.

2⁸⁶⁷ is an apocalyptic number.

867 is a deficient number, since it is larger than the sum of its proper divisors (361).

867 is a wasteful number, since it uses less digits than its factorization.

867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 20 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 867 is about 29.4448637287. Note that the first 3 decimals coincide. The cubic root of 867 is about 9.5354171960.

Adding to 867 its sum of digits (21), we get a palindrome (888).

Subtracting from 867 its reverse (768), we obtain a palindrome (99).

Multiplying 867 by its reverse (768), we get a square (665856 = 816²).

The spelling of 867 in words is "eight hundred sixty-seven", and thus it is an aban number and an oban number.